Section 1: Electricity |
|
Electric Force |
56:18 |
| |
Intro |
0:00 | |
| |
Electric Charge |
0:18 | |
| |
| Matter Consists of Atom |
1:01 | |
| |
| Two Types of Particles: Protons & Neutrons |
1:48 | |
| |
| Object with Excess Electrons: Negatively Charged |
7:58 | |
| |
| Carbon Atom |
8:30 | |
| |
| Positively Charged Object |
9:55 | |
| |
Electric Charge |
10:07 | |
| |
| Rubber Rod Rubs Against Fur (Negative Charge) |
10:16 | |
| |
| Glass Rod Rub Against Silk (Positive Charge) |
11:48 | |
| |
| Hanging Rubber Rod |
12:44 | |
| |
Conductors and Insulators |
16:00 | |
| |
| Electrons Close to Nucleus |
18:34 | |
| |
| Conductors Have Mobile Charge |
21:30 | |
| |
| Insulators: No Moving Electrons |
23:06 | |
| |
| Copper Wire Connected to Excess Negative charge |
23:22 | |
| |
| Other End Connected to Excess Positive Charge |
24:09 | |
| |
Charging a Metal Object |
27:25 | |
| |
| By Contact |
28:05 | |
| |
| Metal Sphere on an Insulating Stand |
28:16 | |
| |
| Charging by Induction |
30:59 | |
| |
| Negative Rubber Rod |
31:26 | |
| |
| Size of Atom |
36:08 | |
| |
Extra Example 1: Three Metallic Objects |
7:32 | |
| |
Extra Example 2: Rubber Rod and Two Metal Spheres |
6:25 | |
|
Coulomb's Law |
1:27:18 |
| |
Intro |
0:00 | |
| |
Coulomb's Law |
0:59 | |
| |
| Two Point Charges by Distance R |
1:11 | |
| |
| Permitivity of Free Space |
5:28 | |
| |
Charges on the Vertices of a Triangle |
8:00 | |
| |
| 3 Charges on Vertices of Right Triangle |
8:29 | |
| |
| Charge of 4, -5 and -2 micro-Coulombs |
10:00 | |
| |
| Force Acting on Each Charge |
10:58 | |
| |
Charges on a Line |
21:29 | |
| |
| 2 Charges on X-Axis |
22:40 | |
| |
| Where Should Q should be Placed, Net Force =0 |
23:23 | |
| |
Two Small Spheres Attached to String |
31:08 | |
| |
| Adding Some Charge |
32:03 | |
| |
| Equilibrium Net Force on Each Sphere = 0 |
33:38 | |
| |
Simple Harmonic Motion of Point Charge |
37:40 | |
| |
| Two Charges on Y-Axis |
37:55 | |
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| Charge is Attracted |
39:52 | |
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| Magnitude of Net Force on Q |
42:23 | |
| |
Extra Example 1: Vertices of Triangle |
9:39 | |
| |
Extra Example 2: Tension in String |
11:46 | |
| |
Extra Example 3: Two Conducting Spheres |
6:29 | |
| |
Extra Example 4: Force on Charge |
9:21 | |
|
Electric Field |
1:37:24 |
| |
Intro |
0:00 | |
| |
Definition of Electric Field |
0:11 | |
| |
| Q1 Produces Electric Field |
3:23 | |
| |
| Charges on a Conductor |
4:26 | |
| |
Field of a Point Charge |
13:10 | |
| |
| Charge Point Between Two Fields |
13:20 | |
| |
| Electric Field E=kq/r2 |
14:29 | |
| |
| Direction of the Charge Field |
15:10 | |
| |
| Positive Charge, Field is Radially Out |
15:45 | |
| |
Field of a Collection of a Point Charge |
19:40 | |
| |
| Two Charges Q1,Q2 |
19:56 | |
| |
| Q1 Positive, Electric Field is Radially Out |
20:32 | |
| |
| Q2 is Negative, Electric Field is Radially Inward |
20:46 | |
| |
| 4 Charges are Equal |
23:54 | |
| |
Parallel Plate Capacitor |
25:42 | |
| |
| Two Plates ,Separated by a Distance |
26:44 | |
| |
| Fringe Effect |
30:26 | |
| |
| E=Constant Between the Parallel Plate Capacitor |
30:40 | |
| |
Electric Field Lines |
35:16 | |
| |
| Pictorial Representation of Electric Field |
35:30 | |
| |
| Electric Lines are Tangent to the Vector |
35:57 | |
| |
| Lines Start at Positive Charge, End on Negative Charge |
41:24 | |
| |
| Parallel Line Proportional to Charge |
45:51 | |
| |
| Lines Never Cross |
46:00 | |
| |
Conductors and Shielding |
49:33 | |
| |
| Static Equilibrium |
51:09 | |
| |
| No Net Moment of Charge |
53:09 | |
| |
| Electric Field is Perpendicular to the Surface of Conductor |
55:40 | |
| |
Extra Example 1: Plastic Sphere Between Capacitor |
8:46 | |
| |
Extra Example 2: Electron Between Capacitor |
11:52 | |
| |
Extra Example 3: Zero Electric Field |
10:44 | |
| |
Extra Example 4: Dimensional Analysis |
6:01 | |
|
Electric Field of a Continuous Charge Distribution |
1:40:12 |
| |
Intro |
0:00 | |
| |
General Expression For E |
0:16 | |
| |
| Magnitude of Electric Field |
1:29 | |
| |
| Disk: Spread Charge Distribution |
5:04 | |
| |
| Volume Contains Charges |
6:16 | |
| |
Charged Rod One Dimension |
16:28 | |
| |
| Rod in X-Axis |
17:00 | |
| |
| Charge Density |
17:49 | |
| |
| Find Electric Field at Distance 'A' |
19:05 | |
| |
Charged Rod, Cont. |
32:48 | |
| |
| Origin at Center, Extends From -L to +L |
33:11 | |
| |
| Dividing Rod into Pieces |
34:50 | |
| |
| Electric Field Produced At Point P |
35:09 | |
| |
| Another Element |
37:43 | |
| |
| 'Y' Components of Electric Field |
42:15 | |
| |
Charged Ring |
54:23 | |
| |
| Find Electric Field Above the Center |
54:48 | |
| |
Charged Disc |
58:43 | |
| |
| Collection of Rings |
59:10 | |
| |
Example 1: Charged Disk |
17:18 | |
| |
Example 2: Semicircle with Charge |
7:49 | |
| |
Example 3: Charged Cylindrical Charge |
13:53 | |
|
Gauss's Law |
1:27:00 |
| |
Intro |
0:00 | |
| |
Electric Field Lines |
0:11 | |
| |
| Magnitude of Field |
2:04 | |
| |
| Unit Area and Unit Lines |
2:59 | |
| |
| Number of Lines Passing Through the Unit |
6:45 | |
| |
Electic Flux: Constant E |
6:51 | |
| |
| Field Lines Equally Spaced |
7:10 | |
| |
| Area Perpendicular To Field Lines |
7:46 | |
| |
| Electric Flux |
8:36 | |
| |
| Area Perpendicular to Electric Lines |
9:43 | |
| |
| Tilt the Area |
10:58 | |
| |
| Flux of E Through Area |
17:30 | |
| |
Electric Flux: General Case |
20:46 | |
| |
| Perpendicular at Different Directions |
23:24 | |
| |
| Electric Field Given On a Patch |
27:10 | |
| |
| Magnitude of Field |
28:53 | |
| |
| Direction is Outward Normal |
29:34 | |
| |
| Flux Through Patch |
30:36 | |
| |
Example |
36:09 | |
| |
| Electric Field in Whole Space |
37:16 | |
| |
| Sphere of Radius 'r' |
37:30 | |
| |
| Flux Through Sphere |
38:09 | |
| |
Gauss's Law: Charge Outside |
46:02 | |
| |
| Flux Through Radius Phase is Zero |
50:09 | |
| |
| Outward normal 'n' |
54:55 | |
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Gauss's Law: Charge Enclosed |
60:30 | |
| |
| Drawing Cones |
60:51 | |
| |
Example 1: Flux Through Square |
7:08 | |
| |
Example 2: Flux Through Cube |
10:23 | |
| |
Example 3: Flux Through Pyramid |
5:01 | |
|
Application of Gauss's Law, Part 1 |
1:06:48 |
| |
Intro |
0:00 | |
| |
When is Gauss Law Useful? |
0:18 | |
| |
| Need a Surface S |
5:14 | |
| |
| Gaussian Surface |
5:50 | |
| |
Sphere of Charge |
10:11 | |
| |
| Charge Density is Uniform |
10:30 | |
| |
| Radius as 'A' |
11:23 | |
| |
| Case 1: R>A |
11:58 | |
| |
| Any Direction On Cone Is Same |
20:28 | |
| |
| Case 2: R<A |
25:15 | |
| |
| Point R Within the Surface |
25:30 | |
| |
Concentric Cavity |
31:11 | |
| |
| Inside Circle and Outside Circle |
31:48 | |
| |
| R>A |
32:17 | |
| |
| R<B |
36:40 | |
| |
Radius Dependent Charge Density |
37:39 | |
| |
| Sphere |
38:09 | |
| |
| Total Charge: Q |
39:46 | |
| |
| Spherical Shell |
40:13 | |
| |
| Finding Electric Field R>A |
42:36 | |
| |
| R<A |
44:14 | |
| |
Example 1: Charged Sphere |
9:56 | |
| |
Example 2: Charged Spherical Cavity |
11:06 | |
|
Application of Gauss's Law, Part 2 |
1:19:19 |
| |
Intro |
0:00 | |
| |
Infinitely Long Line of Charge |
0:13 | |
| |
| All Points Same Magnitude |
5:02 | |
| |
| E is Perpendicular to Line |
9:08 | |
| |
| Gauss's Law Cannot be Applied to Finite Length |
15:50 | |
| |
Infinitely Long Cylinder Of Charge |
16:05 | |
| |
| Draw a Cylinder of Radius 'R' |
16:36 | |
| |
| Line of Charge Along the Center |
18:25 | |
| |
| R<A |
18:39 | |
| |
| Electric Field of Special Direction |
19:06 | |
| |
Infinite Sheet of Charge |
25:12 | |
| |
| Electric Field Above the Sheet |
25:38 | |
| |
| Point is Above Height, Cylinder Intersects |
26:29 | |
| |
| Curved Path |
33:12 | |
| |
Parallel Plate Capacitors |
37:16 | |
| |
| Electric Field Between Sheets |
39:16 | |
| |
Conductors |
41:55 | |
| |
| Adding Charge to Conductors |
42:16 | |
| |
| In Electrostatic Equilibrium Charges Stop Moving |
44:37 | |
| |
| Electric Field is Perpendicular to Surface |
47:16 | |
| |
| Excess Charge Must Reside on Surface |
47:38 | |
| |
Example 1: Cylindrical Shell |
7:45 | |
| |
Example 2: Wire Surrounded by Shell |
6:43 | |
| |
Example 3: Sphere Surrounded by Spherical Shell |
7:30 | |
|
Electric Potential, Part 1 |
1:26:57 |
| |
Intro |
0:00 | |
| |
Potential Difference Between Two Points |
0:16 | |
| |
| Electric Field in Space By Stationary Charges |
0:30 | |
| |
| Point Charge Moves From A to B |
1:37 | |
| |
| Electric Field Exerts a Force |
1:50 | |
| |
| Electric Potential Energy |
5:34 | |
| |
| Work Done By External Agent |
20:03 | |
| |
| Change in Potential Energy is Equal to Amount of Work Done |
24:06 | |
| |
Potential Difference in Uniform Electric Field |
27:59 | |
| |
| Constant Electric Field |
28:22 | |
| |
| Equipotential |
40:22 | |
| |
Parallel Plates |
40:52 | |
| |
| Electric Field is Perpendicular to Plate |
42:07 | |
| |
| Charge Released at A from Rest |
49:00 | |
| |
Motion of Charged Particle in a Uniform Electric Field |
51:55 | |
| |
Example 1: Work by Moving Electrons |
3:45 | |
| |
Example 2: Block and Spring |
13:52 | |
| |
Example 3: Particle on String |
11:27 | |
|
Electric Potential, Part 2 |
1:31:50 |
| |
Intro |
0:00 | |
| |
Potential of a Point Charge |
0:32 | |
| |
| Potential Difference Between A to B |
1:25 | |
| |
| Draw a Circle |
9:12 | |
| |
| Tangential to Sphere |
9:33 | |
| |
| Moving Normally From Sphere |
12:33 | |
| |
Potential Energy of a Collection of Charges |
26:33 | |
| |
| Potential Energy of Two Charges |
26:44 | |
| |
| Work Done in Assembling the Configuration |
27:29 | |
| |
| Bringing From Infinity to New Location |
33:57 | |
| |
| Work Done by External Agent |
36:22 | |
| |
| Potential Energy of the System |
39:39 | |
| |
| Potential Energy for Two Charges |
40:00 | |
| |
Example |
44:49 | |
| |
| Two Charges |
45:03 | |
| |
| Speed at Infinity |
48:01 | |
| |
Electric Field from the Potential |
51:12 | |
| |
| Finding E if V is Given |
51:33 | |
| |
Electric Dipole |
56:22 | |
| |
| Two Equal and Opposite Charges Separated By a Distance |
56:32 | |
| |
| If a << r1 or r2 |
60:23 | |
| |
Example 1: Two Point Charges |
17:56 | |
| |
Example 2: Two Insulating Spheres |
7:31 | |
| |
Example 3: Electric Potential of Space |
4:01 | |
|
Electric Potential, Part 3 |
1:09:12 |
| |
Intro |
0:00 | |
| |
| Continuous Charge Distribution |
0:27 | |
| |
| Finding Potential for a Charge Point |
1:39 | |
| |
| Potential Produced at P |
4:42 | |
| |
Charged Ring |
8:38 | |
| |
| Electric Field at Some Point of Axis |
9:13 | |
| |
Charged Disk |
19:32 | |
| |
| Collection of Ring |
20:40 | |
| |
| Finding Potential Point Above the Ring |
22:19 | |
| |
| Potential Due to The Ring |
23:40 | |
| |
Finite Line of Charge |
35:56 | |
| |
| Line of Change Along the X-Axis and Y-axis |
36:11 | |
| |
Example 1: Charged Rod |
8:52 | |
| |
Example 2: Bent Semicircle |
4:48 | |
| |
Example 3: Bent Semicircle with Variables |
4:52 | |
|
Electric Potential, Part 4 |
1:11:16 |
| |
Intro |
0:00 | |
| |
Charged Conductors |
0:12 | |
| |
| Adding Excess Charge to a Conductor |
1:02 | |
| |
| E=0 Inside Conductors |
1:50 | |
| |
| Excess Charges Must Reside on Surface |
3:40 | |
| |
| E Normal on the Surface |
9:31 | |
| |
| Surface of Conductor is Equipotential |
11:59 | |
| |
Conducting Sphere |
19:28 | |
| |
| Adding Charge to the Sphere |
19:41 | |
| |
| Electric Field Outside is Concentrated at Center |
20:05 | |
| |
| Electric Potential is Same as Center |
23:01 | |
| |
Example |
26:24 | |
| |
| Two Spheres with Distance and of Different Size |
26:45 | |
| |
| Connecting Both Spheres with Conducting Wire |
27:22 | |
| |
Cavity Within a Conductor |
39:43 | |
| |
| Hollow Conductor |
40:19 | |
| |
| Electric Static Equilibrium |
41:13 | |
| |
| Electric Field is Zero Within Cavity |
53:20 | |
| |
Example 1: Neutral Conducting Sphere |
4:03 | |
| |
Example 2: Conducting Sphere with Spherical Shell |
13:45 | |
|
Capacitor |
1:24:14 |
| |
Intro |
0:00 | |
| |
Capacitance |
0:09 | |
| |
| Consider Two Conductor s |
0:25 | |
| |
| Electric Field Passing from Positive to Negative |
1:19 | |
| |
| Potential Difference |
3:31 | |
| |
| Defining Capacitance |
3:51 | |
| |
Parallel Plate Capacitance |
8:30 | |
| |
| Two Metallic Plates of Area 'a' and Distance 'd' |
8:46 | |
| |
| Potential Difference between Plates |
13:12 | |
| |
Capacitance with a Dielectric |
22:14 | |
| |
| Applying Electric Field to a Capacitor |
22:44 | |
| |
| Dielectric |
30:32 | |
| |
Example |
34:56 | |
| |
| Empty Capacitor |
35:12 | |
| |
| Connecting Capacitor to a Battery |
35:26 | |
| |
| Inserting Dielectric Between Plates |
39:02 | |
| |
Energy of a Charged Capacitor |
43:01 | |
| |
| Work Done in Moving a Charge, Difference in Potential |
47:48 | |
| |
Example |
54:10 | |
| |
| Parallel Plate Capacitor |
54:22 | |
| |
| Connect and Disconnect the Battery |
55:27 | |
| |
| Calculating Q=cv |
55:50 | |
| |
| Withdraw Mica Sheet |
56:49 | |
| |
| Word Done in Withdrawing the Mica |
60:23 | |
| |
Extra Example 1: Parallel Plate Capacitor |
8:41 | |
| |
Extra Example 2: Mica Dielectric |
15:01 | |
|
Combination of Capacitors |
1:03:23 |
| |
Intro |
0:00 | |
| |
Parallel Combination |
0:20 | |
| |
| Two Capacitors in Parallel With a Battery |
0:40 | |
| |
| Electric Field is Outside |
5:47 | |
| |
| Point A is Directly Connected to Positive Terminal |
7:57 | |
| |
| Point B is Directly Connected to Negative Terminal |
8:10 | |
| |
| Voltage Across Capacitor |
12:54 | |
| |
| Energy Stored |
14:52 | |
| |
Series Combination |
17:58 | |
| |
| Two Capacitors Connected End to End With a Battery |
18:10 | |
| |
| Equivalent Capacitor |
25:20 | |
| |
| A is Same Potential |
26:59 | |
| |
| C is Same Potential |
27:06 | |
| |
| Potential Difference Across First Capacitor (Va-Vb) |
27:42 | |
| |
| (Vb-Vc) is Potential Difference Across Second Capacitor |
28:10 | |
| |
| Energy Stored in C1,C2 |
29:53 | |
| |
Example |
31:07 | |
| |
| Two Capacitor in Series, 2 in Parallel, 3 in Parallel, 1 Capacitor Connected |
31:28 | |
| |
| Final Equivalent Circuit |
37:31 | |
| |
Extra Example 1: Four Capacitors |
16:50 | |
| |
Extra Example 2: Circuit with Switches |
8:25 | |
|
Calculating Capacitance |
55:14 |
| |
Intro |
0:00 | |
| |
Considering a Sphere |
0:28 | |
| |
| Placing Charge on Sphere |
2:14 | |
| |
| On the Surface of Sphere |
4:12 | |
| |
Spherical Capacitor |
9:20 | |
| |
| Sphere of Radius a and Shell of Radius b |
9:40 | |
| |
| Positive Charge on Outer Sphere |
11:02 | |
| |
| Negative Charge on Inner Sphere |
11:26 | |
| |
| Calculating Potential Difference |
11:38 | |
| |
Parallel Plate Capacitor |
22:38 | |
| |
| Two Plates with Charges Positive and Negative |
22:54 | |
| |
| Separation of Plate |
25:10 | |
| |
Cylindrical Capacitor |
28:40 | |
| |
| Inner Cylinder and Outer Cylindrical Shell |
29:01 | |
| |
| Linear Charge Density |
30:41 | |
| |
Example 1: Parallel Plate Capacitor |
4:39 | |
| |
Example 2: Spherical Capacitor |
8:51 | |
|
More on Filled Capacitors |
1:17:13 |
| |
Intro |
0:00 | |
| |
Electric Dipole is an Electric Field : Torque |
0:13 | |
| |
| Magnitude of Dipole |
1:15 | |
| |
| Starts to Rotate |
5:38 | |
| |
| Force qe to the Right |
5:59 | |
| |
| Finding the Torque |
6:35 | |
| |
Electric Dipole is an Electric Field : Potential Energy |
13:56 | |
| |
| Electric Field Try's to Rotate |
14:43 | |
| |
| Object on Center of Earth |
16:04 | |
| |
| Applying Torque Equal and Opposite |
17:05 | |
| |
Water Molecule |
25:43 | |
| |
| Carbon Molecules |
31:39 | |
| |
| Net Dipole Moment is Zero |
32:11 | |
| |
| Induced Dipole Moment |
34:43 | |
| |
Filled Capacitor |
35:27 | |
| |
| Empty Capacitor with Charge on it |
35:44 | |
| |
| Inserting a Dielectric |
36:08 | |
| |
Capacitor Partially Filled with Metallic Slab |
44:33 | |
| |
| Capacitor with Slab of Distance 'd' |
44:54 | |
| |
Capacitor Partially Filled with a Dielectric Slab |
51:59 | |
| |
| Change in Potential Difference |
53:28 | |
| |
Example 1: Parallel Plate Capacitor |
13:37 | |
| |
Example 2: Conducting Slab |
8:20 | |
|
Electric Current |
1:19:17 |
| |
Intro |
0:00 | |
| |
Definition |
0:20 | |
| |
| Consider a Wire ,Cylindrical |
0:40 | |
| |
| Cross Sectional Area |
1:06 | |
| |
| Crossing Charges Will be Counted |
2:50 | |
| |
| Amount of Charge Crosses Cross Sectional Area |
3:29 | |
| |
| Current I=q/t |
4:18 | |
| |
| Charges Flowing in Opposite Direction |
5:58 | |
| |
| Current Density |
6:19 | |
| |
| Applying Electric Field |
11:50 | |
| |
Current in a Wire |
15:24 | |
| |
| Wire With a Cross Section Area 'A' |
15:33 | |
| |
| Current Flowing to Right |
18:57 | |
| |
| How Much Charge Crosses Area 'A' |
19:15 | |
| |
| Drift Velocity |
20:02 | |
| |
| Carriers in Cylinder |
22:40 | |
| |
Ohm's Law |
24:58 | |
| |
| Va-Vb = Electric Field times Length of Wire |
28:27 | |
| |
| Ohm's Law |
28:54 | |
| |
| Consider a Copper Wire of 1m , Cross Sectional Area 1cm/sq |
34:24 | |
| |
Temperature Effect |
37:07 | |
| |
| Heating a Wire |
37:05 | |
| |
| Temperature Co-Efficient of Resistivity |
39:57 | |
| |
Battery EMF |
43:00 | |
| |
| Connecting a Resistance to Battery |
44:30 | |
| |
| Potential Difference at Terminal of Battery |
45:15 | |
| |
Power |
53:30 | |
| |
| Battery Connected with a Resistance |
53:47 | |
| |
| Work Done on Charge |
56:55 | |
| |
| Energy Lost Per Second |
60:35 | |
| |
Extra Example 1: Current |
9:46 | |
| |
Extra Example 2: Water Heater |
8:05 | |
|
Circuits |
1:34:08 |
| |
Intro |
0:00 | |
| |
Simple Rules |
0:16 | |
| |
| Resistance in Series |
0:33 | |
| |
| Current Passing Per Second is Equal |
1:36 | |
| |
| Potential Difference |
3:10 | |
| |
| Parallel Circuit, R1, R2 |
5:08 | |
| |
| Battery, Current Starts From Positive Terminal to Negative Terminal |
10:08 | |
| |
Series Combination of Resistances |
13:06 | |
| |
| R1, R2 Connected to Battery |
13:35 | |
| |
| Va-Vb=Ir1,Vb-Vc=Ir2 |
16:59 | |
| |
| Three Resistance Connected in Series Req=r1+r2+r3 |
18:55 | |
| |
Parallel Combination of Resistance |
19:28 | |
| |
| R1 and R2 Combined Parallel |
19:50 | |
| |
| I=i1+i2 (Total Current) |
24:26 | |
| |
| Requ=I/E |
24:51 | |
| |
A Simple Circuit |
27:57 | |
| |
| Current Splits |
29:15 | |
| |
| Total Resistance |
31:52 | |
| |
| Current I= 6/17.2 |
35:10 | |
| |
Another Simple Circuit |
37:46 | |
| |
| Battery has Small Internal Resistance |
38:02 | |
| |
| 2 Ohms Internal Resistance, and Two Resistance in Parallel |
38:24 | |
| |
| Drawing Circuit |
48:53 | |
| |
| Finding Current |
52:06 | |
| |
RC Circuit |
55:17 | |
| |
| Battery , Resistance and Capacitance Connected |
55:30 | |
| |
| Current is Function of Time |
58:00 | |
| |
| R, C are Time Constants |
59:25 | |
| |
Extra Example 1: Resistor Current/Power |
4:17 | |
| |
Extra Example 2: Find Current |
6:03 | |
| |
Extra Example 3: Find Current |
10:00 | |
| |
Extra Example 4: Find Current |
13:49 | |
|
Kirchhoff's Law |
1:42:02 |
| |
Intro |
0:00 | |
| |
First Kirchhoff Rule |
0:19 | |
| |
| Two Resistance Connected With a Battery |
0:29 | |
| |
| Many Resistance |
1:40 | |
| |
| Increase in Potential from A to B |
4:46 | |
| |
| Charge Flowing from Higher Potential to Lower Potential |
5:13 | |
| |
Second Kirchhoff Rule |
9:17 | |
| |
| Current Entering |
9:27 | |
| |
| Total Current Arriving is Equal Current Leaving |
13:20 | |
| |
Example |
14:10 | |
| |
| Battery 6 V, Resistance 20, 30 Ohms and Another Battery 4v |
14:30 | |
| |
| Current Entering I2+I3 |
21:18 | |
| |
Example 2 |
31:20 | |
| |
| 2 Loop circuit with 6v and 12 v and Resistance, Find Current in Each Resistance |
32:29 | |
| |
Example 3 |
42:02 | |
| |
| Battery and Resistance in Loops |
42:23 | |
| |
Ammeters and Voltmeters |
56:22 | |
| |
| Measuring Current is Introducing an Ammeter |
56:35 | |
| |
| Connecting Voltmeter, High Resistance |
57:31 | |
| |
Extra Example 1: Find Current |
18:47 | |
| |
Extra Example 2: Find Current |
13:35 | |
| |
Extra Example 3: Find Current |
10:23 | |
|
RC Circuits |
1:20:35 |
| |
Intro |
0:00 | |
| |
Charging a Capacitor: Circuit Equation |
0:09 | |
| |
| Circuit with a Resistance , Capacitance and a Battery |
0:20 | |
| |
| Closing Switch at T=0 |
1:36 | |
| |
| Applying Kirchhoff's Rule |
6:26 | |
| |
| Change in Potential is Zero |
6:52 | |
| |
| Solution Tau dq/dt= ec-q |
16:25 | |
| |
Discharging a Capacitor |
27:14 | |
| |
| Charged Capacitor Connect to Switch and Resistance |
27:30 | |
| |
| Closing the Switch at T=0 |
28:11 | |
| |
Example |
36:50 | |
| |
| 12V Battery with Switch and Resistance 10mili ohms and Capacitor Connected 10 Micro Farad |
37:02 | |
| |
| Time Constant |
38:58 | |
| |
| Charge at q=0 at t=1sec |
40:16 | |
| |
Example |
42:58 | |
| |
| Switch With Capacitor and Resistance |
43:31 | |
| |
| What Time Charge C Has Initial Valve |
45:17 | |
| |
| How Long Charge Energy Stored in C to Drop Half of Initial Value |
46:55 | |
| |
Example 1: RC Circuit 1 |
6:49 | |
| |
Example 2: RC Circuit 2 |
12:53 | |
| |
Example 3: RC Circuit 3 |
10:42 | |
Section 2: Magnetism |
|
Magnetic Field |
1:38:19 |
| |
Intro |
0:00 | |
| |
Magnets |
0:13 | |
| |
| Compass Will Always Point North |
3:49 | |
| |
| Moving a Compass Needle |
5:50 | |
| |
Force on a Charged Particles |
10:37 | |
| |
| Electric Field and Charge Particle Q |
10:48 | |
| |
| Charge is Positive Force |
11:11 | |
| |
| Charge Particle is At Rest |
13:38 | |
| |
| Taking a Charged Particle and Moving to Right |
16:15 | |
| |
| Using Right Hand Rule |
23:37 | |
| |
| C= Magnitude of A, B |
26:30 | |
| |
| Magnitude of C |
26:55 | |
| |
Motion of Particle in Uniform Magnetic Field |
33:30 | |
| |
| Magnetic Field has Same Direction |
34:02 | |
| |
| Direction of Force |
38:40 | |
| |
| Work Done By Force=0 |
41:40 | |
| |
| Force is Perpendicular With Velocity |
42:00 | |
| |
Bending an Electron Beam |
48:09 | |
| |
| Heating a Filament |
48:29 | |
| |
| Kinetic Energy of Battery |
51:54 | |
| |
| Introducing Magnetic Field |
52:10 | |
| |
Velocity Selector |
53:45 | |
| |
| Selecting Particles of Specific Velocity |
54:00 | |
| |
| Parallel Plate Capacitor |
54:30 | |
| |
| Magnetic Force |
56:20 | |
| |
| Magnitude of Force |
56:45 | |
| |
Extra Example 1: Vectors |
19:24 | |
| |
Extra Example 2: Proton in Magnetic Field |
8:33 | |
| |
Extra Example 3: Proton Circular Path |
10:46 | |
|
Magnetic Force on a Current Carrying Conductor |
1:04:43 |
| |
Intro |
0:00 | |
| |
Current Carrying Conductor in a Magnetic Field |
0:19 | |
| |
| Current Though the Wire Connected to Battery |
1:22 | |
| |
| Current Exerts Force Toward the Left |
2:16 | |
| |
| IF Current is Reversed ,Force Exerts on Right |
2:47 | |
| |
Magnetic Force |
3:31 | |
| |
| Wire with Current 'I' and with magnetic Field |
4:02 | |
| |
| Force Exerted by Magnetic field |
5:05 | |
| |
| Applying right hand Rule |
5:25 | |
| |
| Let N be Number of Charge Carries Per /Vol |
6:40 | |
| |
| Force on Wire |
8:30 | |
| |
| Number of Charge Crossing in Time 't' |
12:51 | |
| |
Example |
22:32 | |
| |
| Wire Bent to Semi Circle and Rest is Straight |
22:51 | |
| |
| Applying Constant Magnetic Field in 'y' Direction |
23:24 | |
| |
| Force n Straight Segment |
23:50 | |
| |
| Net Force |
34:19 | |
| |
Example 1: Rod on Rails |
15:37 | |
| |
Example 2: Magnetic Force on Wire |
13:59 | |
|
Torque on a Current Carrying Loop |
1:09:06 |
| |
Intro |
0:00 | |
| |
B-Field Parallel to Plane of the Loop |
0:27 | |
| |
| Loop in the X-Y Plane |
1:06 | |
| |
| Net Force on Loop |
7:45 | |
| |
B-Field Not Parallel to Plane of the Loop |
15:16 | |
| |
| Loop in the X-Y Plane, Free to Rotate in X- Direction |
15:32 | |
| |
| Force on Out of Page and Force in to the Page |
15:59 | |
| |
| Loop Turns Through 90 Degrees |
18:10 | |
| |
Magnetic Moment |
36:26 | |
| |
| Any Current Loop Has Current 'I' |
36:51 | |
| |
| Electric Dipole in Electric Field |
38:17 | |
| |
| Potential Energy |
39:54 | |
| |
| Magnetic Potential Energy of Dipole |
41:05 | |
| |
Example |
43:33 | |
| |
| Circular of Radius 'r' With Magnetic Field and Pass Current |
43:42 | |
| |
| Torque |
46:01 | |
| |
Example 1: Loop in Magnetic Field |
9:21 | |
| |
Example 2: Rotating Charge |
10:32 | |
|
Magnetic Field Produced By Current, Part 1 |
57:58 |
| |
Intro |
0:00 | |
| |
Biot-Savart Law |
0:11 | |
| |
| Suppose A current Carrying Wire |
0:50 | |
| |
| Magnetic Field Produced by the Tiny Element is Also Tiny |
3:09 | |
| |
| Permeability of Free Space |
4:56 | |
| |
B-Field of a Straight Wire |
8:40 | |
| |
| Wire in X Axis |
9:05 | |
| |
| What is the Magnetic Field Produce at Point p |
9:16 | |
| |
| Taking a Small Segment |
9:57 | |
| |
| If Length is Infinite |
26:26 | |
| |
Semi Circular Wire |
27:02 | |
| |
| Semicircular Wire of Radius 'R' |
27:22 | |
| |
| Finding Magnetic Field at Center |
27:48 | |
| |
Circular Current in Loop |
33:37 | |
| |
| Circular Loop with Current 'I' |
33:47 | |
| |
| Current Above the Center |
34:00 | |
| |
Example 1: Loop Carrying Current |
10:42 | |
| |
Example 2: Concentric Loops |
4:57 | |
|
Magnetic Field Produced By Current, Part 2 |
1:19:29 |
| |
Intro |
0:00 | |
| |
Ampere's Law |
0:16 | |
| |
| Consider a Loop at Any Point in Loop |
1:15 | |
| |
Long Cylindrical Wire |
9:08 | |
| |
| Wire of Radius 'r' |
9:24 | |
| |
| Magnetic Field is Tangent to Circle and Has Same Magnitude |
10:15 | |
| |
| B at r>R |
21:58 | |
| |
| B at r<R |
23:08 | |
| |
| B at r=R |
25:49 | |
| |
Toroid |
26:58 | |
| |
| Wrap a Wire to Toroid |
27:47 | |
| |
| Calculating the Magnetic Field for 1 Loop |
29:30 | |
| |
Solenoid |
39:17 | |
| |
| Coil With Many Turns |
39:35 | |
| |
| Each Loop Carrying Current |
40:29 | |
| |
| Taking Loop Within the Solenoid and Close the Loop |
43:05 | |
| |
| Applying Ampere's Law |
43:33 | |
| |
Example 1: Infinitely Long Wire |
8:12 | |
| |
Example 2: Straight Wire |
4:15 | |
| |
Example 3: Two Parallel Conductors |
8:21 | |
| |
Example 4: Solenoid |
10:13 | |
|
Magnetic Field Produced By Current, Part 3 |
50:37 |
| |
Intro |
0:00 | |
| |
Magnetic Force Between Parallel Conductors |
0:16 | |
| |
| Two Parallel Plate Capacitors with Current |
0:40 | |
| |
| Magnetic Field by i1 |
1:50 | |
| |
| According to Right Hand Rule |
2:37 | |
| |
Example |
10:20 | |
| |
| Wire of 4m Length |
10:50 | |
| |
| Mass of Wire 1Kg |
11:18 | |
| |
| Force of Repulsion =Mg |
12:24 | |
| |
Gauss's Law in Magnetism |
15:36 | |
| |
| Surface of Area, Magnetic Field is Perpendicular to Surface |
17:09 | |
| |
| Magnetic Flux Through Enclosed surface |
19:23 | |
| |
Example |
26:44 | |
| |
| Magnetic Field Out of Page |
27:54 | |
| |
| Consider a Flux Through Rectangular Loop |
28:52 | |
| |
Example 1: Two Parallel Wires |
9:45 | |
| |
Example 2: Cube with Magnetic Field |
5:36 | |
|
Faraday's Law |
1:10:38 |
| |
Intro |
0:00 | |
| |
Faraday's Law |
0:14 | |
| |
| Coil Connected to Ammeter |
0:29 | |
| |
| Introducing a Magnet |
1:08 | |
| |
| Moving the Magnet Forward and Backward |
1:33 | |
| |
| Flux Increasing in Time |
2:20 | |
| |
| Induced Electro Motive Force EMF |
4:20 | |
| |
| Iron Core Square with Battery and Switch, Ammeter |
5:22 | |
| |
| Close the Switch, Current Appears |
6:11 | |
| |
Lenz's Law |
9:17 | |
| |
| Wire with Current I and Wire Loop |
9:30 | |
| |
| Magnetic Field is Into the Page |
10:14 | |
| |
| Current Induced in Wire to Oppose Change in Flux |
12:54 | |
| |
| Example: Two Wires with Resistance and Uniform Magnetic Field |
16:00 | |
| |
Increasing B |
29:02 | |
| |
| Coil of 100 Turns |
29:20 | |
| |
| B Perpendicular to Coil |
30:47 | |
| |
| Flux Through Each Turn |
32:25 | |
| |
Rotating Coil |
37:36 | |
| |
| Consider a Big Magnet and Rectangular Coil with many Turns |
37:49 | |
| |
| Rotating Coil With Angular Velocity 'w' |
41:49 | |
| |
Example 1: Loop |
9:51 | |
| |
Example 2: Solenoid |
6:57 | |
| |
Example 3: Wrapped Square |
7:16 | |
|
Motional EMF |
1:00:17 |
| |
Intro |
0:00 | |
| |
Moving a Conducting Rod in Magnetic Field |
0:24 | |
| |
| Rod Moving in a Plane with Velocity 'v' |
0:49 | |
| |
| Charges Piles Up and Down Until Electric Force Balance 'B' |
7:59 | |
| |
| Equilibrium |
9:30 | |
| |
| Potential Difference, Distance to Length of Wire |
9:59 | |
| |
Rod Pulled By External Agent |
11:30 | |
| |
| Resistance to Wire |
12:01 | |
| |
| Introducing Uniform Magnetic Field into The page |
12:14 | |
| |
| Finding Flux |
14:45 | |
| |
| Power Delivered to Resistance |
17:01 | |
| |
| Force Exerted by 'B' on Rod |
19:10 | |
| |
| Power By Agent |
22:26 | |
| |
Sliding Rod |
23:08 | |
| |
| Resistance with a Sliding Rod and Magnetic Field 'B' |
23:35 | |
| |
| Push With Initial Velocity 'V0' |
24:01 | |
| |
| Finding Current = I |
25:20 | |
| |
Rotating Rod |
36:10 | |
| |
| Magnetic Field into The Page |
36:19 | |
| |
| Rod fixed in Plane and Rotating |
36:40 | |
| |
| Induced EMF in Segment |
40:00 | |
| |
Example 1: Bar in Magnetic Field |
6:15 | |
| |
Example 2: Rod in Magnetic Field |
11:08 | |
|
Induced Electric Field |
1:05:19 |
| |
Intro |
0:00 | |
| |
Change B to Induce E |
0:54 | |
| |
| Loop with Magnetic Field B |
1:10 | |
| |
| Flux is Positive With Choice of 'n' |
2:45 | |
| |
| Suppose Magnetic Field is Changing |
3:04 | |
| |
| B Changing with time Flux (>0) |
3:24 | |
| |
| Change in Electric Field Induces magnetic Field |
20:34 | |
| |
Example |
21:08 | |
| |
| Cylinder with Magnetic Field |
21:20 | |
| |
| Fill With Radius 'r' |
22:11 | |
| |
| Turn Off the Field |
22:30 | |
| |
| Magnetic Flux Through Big Loop |
29:59 | |
| |
AC Generator |
38:28 | |
| |
| Magnetic Field with Coil of Many Turns |
38:50 | |
| |
| As the Coil Rotates Flux is Induced |
39:18 | |
| |
| Coil Rotated by Angle |
40:29 | |
| |
| Coil Connected to The Ring and End Connected to Lamp |
42:12 | |
| |
| Kinetic Energy Strike the Coil and Rotating Coil will Produce Electric Energy |
45:12 | |
| |
Example 1: Electric Field |
12:09 | |
| |
Example 2: Electric Field |
7:00 | |
|
Inductance |
1:11:10 |
| |
Intro |
0:00 | |
| |
Mutual Inductance |
0:10 | |
| |
| Two Coils |
0:35 | |
| |
| Current is Time Dependent |
0:54 | |
| |
| Flux Proportional |
1:55 | |
| |
| Magnetic Flux in Coil 2 |
2:08 | |
| |
| Induced EMF |
2:40 | |
| |
| Flux Through 2nd Coil Proportional to Current in First Coil |
4:07 | |
| |
| Mutual Inductance |
5:30 | |
| |
| Suppose Current is in 2nd Coil |
9:28 | |
| |
Example |
12:15 | |
| |
| Two Coils M=0.001 |
12:26 | |
| |
| Φ= Mi1 |
14:17 | |
| |
| Induced EMF |
15:44 | |
| |
Example |
18:30 | |
| |
| Solenoid with N turns |
18:40 | |
| |
| B inside Solenoid |
21:05 | |
| |
| Φ Through the Ring |
22:14 | |
| |
Self Inductance |
27:50 | |
| |
| Single Coil with Current |
28:33 | |
| |
| I with Time Dependent |
28:54 | |
| |
| Φ Proportional to B , Proportional to I |
30:00 | |
| |
| Induced EMF =-di/dt |
31:27 | |
| |
Example 1: Circular Wire |
15:46 | |
| |
Example 2: Two Coils |
9:54 | |
| |
Example 3: Coil |
7:24 | |
|
RL Circuits |
1:25:19 |
| |
Intro |
0:00 | |
| |
Current Raising |
0:45 | |
| |
| Battery and Switch with Resistance and Inductance |
1:17 | |
| |
| Close s1 at T=0 |
2:27 | |
| |
| With out Inductor , Current is E/R |
4:03 | |
| |
| I at T=0 |
9:51 | |
| |
| Vb-Va= -Ir |
15:05 | |
| |
| Log (i-e/r) |
19:51 | |
| |
Current Declining |
27:16 | |
| |
| Resistance R and Inductance |
27:37 | |
| |
| I= E/R |
28:37 | |
| |
| Switch is On at T=0 |
29:10 | |
| |
Example |
39:46 | |
| |
| Battery and Resistance R Connected with Inductor |
39:55 | |
| |
| Time Constant l/R |
40:58 | |
| |
| Time to Reach Half Time |
41:59 | |
| |
| per τ (1-1/e) |
44:36 | |
| |
Magnetic Energy |
45:47 | |
| |
| E-IR-Ldi/dt |
46:26 | |
| |
| Power Derived By Current |
46:51 | |
| |
| Magnetic Energy Stored in Conductor |
52:48 | |
| |
| U=Li2 |
55:28 | |
| |
Magnetic Energy Density |
57:49 | |
| |
| Solenoid |
58:18 | |
| |
| U=1/2 Li2 |
59:03 | |
| |
| Energy Density |
60:45 | |
| |
Example 1: Circuit 1 |
6:13 | |
| |
Example 2: Circuit 2 |
16:54 | |
|
Circuit Oscillation |
1:22:26 |
| |
Intro |
0:00 | |
| |
Oscillation in LC Circuit: Qualitative Analysis |
0:30 | |
| |
| Circuit with Capacitance and Inductance |
1:27 | |
| |
Comparison with a Spring Block System |
4:57 | |
| |
| Close the Switch, Let the Block Move |
5:51 | |
| |
| At V=0 |
7:06 | |
| |
LC Circuit Oscillation :Quantitative Analysis |
15:07 | |
| |
| U Total = Ue + U m |
17:26 | |
| |
Example RLC |
29:25 | |
| |
| Battery =12V, Capacitor and Inductor |
29:54 | |
| |
| Switch at B F> t |
31:42 | |
| |
| Damped Oscillation |
50:14 | |
| |
Example 1: LC Circuit 1 |
7:34 | |
| |
Example 2: LC Circuit 2 |
16:19 | |
| |
Example 3: RLC Circuit |
6:52 | |
|
Maxwell's Equations |
1:12:35 |
| |
Intro |
0:00 | |
| |
Displacement Current |
1:29 | |
| |
| Ampere's Law |
3:04 | |
| |
| Surface Bounded by Path |
3:48 | |
| |
| I Current Going Through Surface |
4:53 | |
| |
| Charging a Capacitor |
9:55 | |
| |
Maxwell's Equation |
18:26 | |
| |
| Integral Form |
18:53 | |
| |
| E.da =Q/e0 in Closed Surface |
18:55 | |
| |
| Absence of Magnetic Monopoles |
19:55 | |
| |
| Flux Through the Surface Bounded By C |
22:26 | |
| |
| Ampere's Law |
23:01 | |
| |
Plane Electromagnetic Wave |
31:03 | |
| |
| Electric and Magnetic Field |
31:27 | |
| |
Example |
39:20 | |
| |
| Electromagnetic Wave Traveling in X Direction |
39:40 | |
| |
| Lamda=c/f |
41:30 | |
| |
| B=E/C |
43:49 | |
| |
Energy and Momentum Carried by EM Waves |
44:34 | |
| |
| Energy Density |
46:35 | |
| |
| Area in Y-Z Plane , Wave in X -Direction |
48:53 | |
| |
| Energy Crossing Per Unit Area |
52:53 | |
| |
| Pointing Vector |
53:11 | |
| |
| Reflection of Radioactive |
60:26 | |
| |
Example 1: Cylindrical Region |
8:36 | |
| |
Example 2: Electric Field of EM Wave |
3:16 | |